On class A operators

Sungeun Jung; K. O. Eungil; L. E.E. Mee-Jung

doi:10.4064/sm198-3-4

On class A operators

Sungeun Jung, K. O. Eungil, L. E.E. Mee-Jung

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.

Original language	English
Pages (from-to)	249-260
Number of pages	12
Journal	Studia Mathematica
Volume	198
Issue number	3
DOIs	https://doi.org/10.4064/sm198-3-4
State	Published - 2010

Keywords

Class a operator
Invariant subspace
Nonhypertransitive
Scalar extension

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10.4064/sm198-3-4

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title = "On class A operators",

abstract = "We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.",

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AU - Jung, Sungeun

AU - Eungil, K. O.

AU - Mee-Jung, L. E.E.

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AB - We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.

KW - Class a operator

KW - Invariant subspace

KW - Nonhypertransitive

KW - Scalar extension

UR - https://www.scopus.com/pages/publications/77954478282

U2 - 10.4064/sm198-3-4

DO - 10.4064/sm198-3-4

M3 - Article

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VL - 198

SP - 249

EP - 260

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

On class A operators

Abstract

Keywords

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